{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Square-root transformation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy.stats as stats"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>counts1</th>\n",
       "      <th>counts2</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>7</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   counts1  counts2\n",
       "0        0        2\n",
       "1        2        1\n",
       "2        7        4\n",
       "3        4        5\n",
       "4        4        3"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# create dataframe\n",
    "df = pd.DataFrame()\n",
    "\n",
    "# draw samples from a poisson distribution\n",
    "df[\"counts1\"] = stats.poisson.rvs(mu=3, size=10000)\n",
    "df[\"counts2\"] = stats.poisson.rvs(mu=2, size=10000)\n",
    "\n",
    "# display top rows\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def diagnostic_plots(df, variable):\n",
    "\n",
    "    # function to plot a bar plot and a Q-Q plot\n",
    "    # side by side, for a certain variable\n",
    "\n",
    "    plt.figure(figsize=(15, 6))\n",
    "\n",
    "    # histogram\n",
    "    plt.subplot(1, 2, 1)\n",
    "    df[variable].value_counts().sort_index().plot.bar()\n",
    "    plt.title(f\"Bar plot of {variable}\")\n",
    "\n",
    "    # q-q plot\n",
    "    plt.subplot(1, 2, 2)\n",
    "    stats.probplot(df[variable], dist=\"norm\", plot=plt)\n",
    "    plt.title(f\"Q-Q plot of {variable}\")\n",
    "\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.rcParams[\"figure.dpi\"] = 450"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "diagnostic_plots(df, \"counts1\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "diagnostic_plots(df, \"counts2\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Square root with NumPy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# make a copy of the dataframe\n",
    "\n",
    "df_tf = df.copy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# apply square root transformation\n",
    "\n",
    "df_tf[[\"counts1\", \"counts2\"]] = np.sqrt(df[[\"counts1\", \"counts2\"]])\n",
    "\n",
    "df_tf[[\"counts1\", \"counts2\"]] = np.round(df_tf[[\"counts1\", \"counts2\"]], 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "diagnostic_plots(df_tf, \"counts1\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "diagnostic_plots(df_tf, \"counts2\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Square root with Scikit-learn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import FunctionTransformer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# make a copy of the data\n",
    "\n",
    "df_tf = df.copy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# set up transformer with desired operations\n",
    "\n",
    "transformer = FunctionTransformer(func=lambda x: np.round(\n",
    "    np.sqrt(x), 2)).set_output(transform=\"pandas\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>counts1</th>\n",
       "      <th>counts2</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.00</td>\n",
       "      <td>1.41</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1.41</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2.65</td>\n",
       "      <td>2.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2.00</td>\n",
       "      <td>2.24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2.00</td>\n",
       "      <td>1.73</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   counts1  counts2\n",
       "0     0.00     1.41\n",
       "1     1.41     1.00\n",
       "2     2.65     2.00\n",
       "3     2.00     2.24\n",
       "4     2.00     1.73"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# transform slice of dataframe with variables to transform\n",
    "\n",
    "df_tf = transformer.transform(df)\n",
    "\n",
    "df_tf.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# check distribution of transformed variable\n",
    "\n",
    "diagnostic_plots(df_tf, \"counts1\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# check distribution of transformed variable\n",
    "\n",
    "diagnostic_plots(df_tf, \"counts2\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Square root with Feature-engine"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "from feature_engine.transformation import PowerTransformer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['counts1', 'counts2']"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# set up PowerTransformer with the square root\n",
    "\n",
    "root_t = PowerTransformer(exp=1 / 2)\n",
    "\n",
    "# fit transformer to data\n",
    "root_t.fit(df)\n",
    "\n",
    "# automatically finds numerical variables\n",
    "root_t.variables_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\Sole\\Documents\\Repositories\\envs\\fsml\\lib\\site-packages\\feature_engine\\transformation\\power.py:147: FutureWarning: Setting an item of incompatible dtype is deprecated and will raise in a future error of pandas. Value '[0.         1.41421356 2.64575131 ... 1.73205081 1.         1.41421356]' has dtype incompatible with int64, please explicitly cast to a compatible dtype first.\n",
      "  X.loc[:, self.variables_] = np.power(X.loc[:, self.variables_], self.exp)\n",
      "C:\\Users\\Sole\\Documents\\Repositories\\envs\\fsml\\lib\\site-packages\\feature_engine\\transformation\\power.py:147: FutureWarning: Setting an item of incompatible dtype is deprecated and will raise in a future error of pandas. Value '[1.41421356 1.         2.         ... 2.         1.73205081 1.        ]' has dtype incompatible with int64, please explicitly cast to a compatible dtype first.\n",
      "  X.loc[:, self.variables_] = np.power(X.loc[:, self.variables_], self.exp)\n"
     ]
    }
   ],
   "source": [
    "# transform variables\n",
    "\n",
    "df_tf = root_t.transform(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# check distribution of transformed variable\n",
    "\n",
    "diagnostic_plots(df_tf, \"counts1\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# check distribution of transformed variable\n",
    "\n",
    "diagnostic_plots(df_tf, \"counts2\")"
   ]
  }
 ],
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  "kernelspec": {
   "display_name": "fsml",
   "language": "python",
   "name": "fsml"
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  "language_info": {
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    "version": 3
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   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.5"
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  "toc": {
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   "toc_position": {
    "height": "921.556px",
    "left": "0px",
    "right": "1750px",
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   "toc_section_display": "block",
   "toc_window_display": true
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 "nbformat": 4,
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}
